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106555716 = 22337691283
BaseRepresentation
bin1100101100111…
…10100101000100
321102111120222000
412112132211010
5204234240331
614323505300
72432465031
oct626364504
9242446860
10106555716
1155169983
122b828230
13190ca727
141021a388
15954c0e6
hex659e944

106555716 has 48 divisors (see below), whose sum is σ = 276830400. Its totient is φ = 35444736.

The previous prime is 106555697. The next prime is 106555733. The reversal of 106555716 is 617555601.

It is a super-2 number, since 2×1065557162 = 22708241224545312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82411 + ... + 83693.

It is an arithmetic number, because the mean of its divisors is an integer number (5767300).

Almost surely, 2106555716 is an apocalyptic number.

It is an amenable number.

106555716 is an abundant number, since it is smaller than the sum of its proper divisors (170274684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106555716 is a wasteful number, since it uses less digits than its factorization.

106555716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 106555716 is about 10322.5828163304. The cubic root of 106555716 is about 474.0879503519.

The spelling of 106555716 in words is "one hundred six million, five hundred fifty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 769 1283 1538 2307 2566 3076 3849 4614 5132 6921 7698 9228 11547 13842 15396 20763 23094 27684 34641 41526 46188 69282 83052 138564 986627 1973254 2959881 3946508 5919762 8879643 11839524 17759286 26638929 35518572 53277858 106555716